Information on Result #701552
Linear OA(867, 91, F8, 39) (dual of [91, 24, 40]-code), using construction X applied to C([0,19]) ⊂ C({3,4,5,6,10,11,12,13,14,19}) based on
- linear OA(853, 65, F8, 39) (dual of [65, 12, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(840, 65, F8, 28) (dual of [65, 25, 29]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {3,4,5,6,10,11,12,13,14,19}, and minimum distance d ≥ |{12,40,3,…,−12}|+1 = 29 (BCH-bound) [i]
- linear OA(814, 26, F8, 10) (dual of [26, 12, 11]-code), using
- construction X applied to AG(F,12P) ⊂ AG(F,14P) [i] based on
- linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(811, 23, F8, 8) (dual of [23, 12, 9]-code), using algebraic-geometric code AG(F,14P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(813, 23, F8, 10) (dual of [23, 10, 11]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- construction X applied to AG(F,12P) ⊂ AG(F,14P) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.